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Simplifying 4(f + -8) = 2f + 8 Reorder the terms: 4(-8 + f) = 2f + 8 (-8 * 4 + f * 4) = 2f + 8 (-32 + 4f) = 2f + 8 Reorder the terms: -32 + 4f = 8 + 2f Solving -32 + 4f = 8 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -32 + 4f + -2f = 8 + 2f + -2f Combine like terms: 4f + -2f = 2f -32 + 2f = 8 + 2f + -2f Combine like terms: 2f + -2f = 0 -32 + 2f = 8 + 0 -32 + 2f = 8 Add '32' to each side of the equation. -32 + 32 + 2f = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 2f = 8 + 32 2f = 8 + 32 Combine like terms: 8 + 32 = 40 2f = 40 Divide each side by '2'. f = 20 Simplifying f = 20
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